A Theoretical Study of Scattering of e± by Tl Atom

Sunzida Parvin, M. Masum Billah, Mahmudul H. Khandker, M. Ismail Hossain*, M. M. Haque, Mehrdad Shahmohammadi Beni, Hiroshi Watabe*, A. K.Fazlul Haque, M. Alfaz Uddin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This article incorporates details of our calculations of the observable quantities for the scattering of electrons and positrons from a post transition metal Thallium (Tl), in the energy range of 1 eV ≤ (Formula presented.) ≤ 1 MeV, using the relativistic Dirac partial wave (phase-shift) analysis employing a complex optical-potential. Absolute differential, integrated elastic and inelastic, transport, total ionization, and total cross sections and a thorough study of the critical minima in the elastic differential cross sections along with the associated angular positions of the maximum polarization points in the Sherman function are provided to study the collision dynamics. The optical potential model incorporates the interactions of the incident electron and/or positron with both the nucleus and the bound electrons of the target atom. In-depth analyses of the spin asymmetry, which are sensitive to phases related interference effect, brought on by the various ingredients of the lepton-atom interaction, are also presented. The performance of the current approach to explain the observations, with the exception of the extremely low energy domain, is shown by a comparison of the previous experimental and theoretical results on this target atom.

Original languageEnglish
Article number37
Issue number2
StatePublished - Feb 2023
Externally publishedYes

Bibliographical note

Funding Information:
This work was supported by the JSPS KAKENHI Grant No. 19H04296 and University of Rajshahi Grant No. 926/5/52/RU/Science-04/20-21. The authors thankfully acknowledge the grants.

Publisher Copyright:
© 2023 by the authors.


  • critical minima
  • differential cross sections
  • Dirac equation
  • e-atom collisions
  • optical potential
  • spin polarization

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Condensed Matter Physics


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